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Finding the Fourth Proportional to 291,659, 402,489.44 and 157,523

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Solution

The fourth proportional to 291,659, 402,489.44 and 157,523 is: 217,381.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,659 : 402,489.44 = 157,523 : x
  2. Step 2: Convert to fraction form
    291,659/402,489.44 = 157,523/x
  3. Step 3: Cross multiply
    291,659x = 402,489.44 × 157,523
  4. Step 4: Simplify right side
    291,659x = 63,401,344,057.12
  5. Step 5: Solve for x
    x = 63,401,344,057.12/291,659
  6. Step 6: Final answer
    x = 217,381.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.